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Finding the Fourth Proportional to 2,096.34, 3,145.04 and 797.10

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Solution

The fourth proportional to 2,096.34, 3,145.04 and 797.10 is: 1,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.34 : 3,145.04 = 797.10 : x
  2. Step 2: Convert to fraction form
    2,096.34/3,145.04 = 797.10/x
  3. Step 3: Cross multiply
    2,096.34x = 3,145.04 × 797.10
  4. Step 4: Simplify right side
    2,096.34x = 2,506,911.38
  5. Step 5: Solve for x
    x = 2,506,911.38/2,096.34
  6. Step 6: Final answer
    x = 1,195.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.